Heat Equation: Fourier Series

Related lectures (29)

Page 1 of 3

Explores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.

Covers free propagation and the heat equation solution, discussing momentum preservation and Fourier multipliers.

Covers the application of separation of variables method to solve the heat equation.

Explores linear systems, convergence, and solving methods with a focus on CPU time and memory requirements.

Explores the maximum principle in the context of the heat equation and the concept of the cylinder.

Explores solving differential equations with periodic data using Fourier series and delves into the heat equation in R.

Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.

Explores convolution properties, heat equation application, and Fourier transform on tempered distributions.

Covers numerical methods for solving boundary value problems, including applications with the Fast Fourier transform (FFT) and de-noising data.

Explores the application of Fourier transform to PDEs and boundary conditions.